There is what is known as the "dialect of power" and in the US that is Standard American English.
It's not necessarily "wrong" to speak AAVE but in doing so, you will disqualify yourself from opportunities that could otherwise be open to you based on your education and/or experience.
If someone calls you to schedule a job interview and you don't sound the way you're expected to sound when you speak, they'll mentally cross you off of the short list before you ever cross the threshold of their place of business.
As an African American man, I'll admit that when I'm exclusively in the presence of other black people, I'll code switch and speak in a way that I never would at work or in mixed company.
I have a very Anglicized name and I speak Standard American English. As a result of that, people who haven't previously met me in person are sometimes surprised to learn that I'm not a white guy.
Being inclusive is a worthy goal but I think that education should stress the importance of speaking Standard American English because it's necessary to do so if one wants to be successful in this society.